Details

Time bar (total: 30.9s)

sample27.2s

Algorithm
intervals
Results
26.2s1818×body10240exit
618.0ms130×body1280valid
207.0ms81×body640valid
32.0ms20×body320valid
9.0ms18×body80valid
5.0ms7×body160valid

simplify85.0ms

Calls
1 calls:
Slowest
85.0ms
(+ lambda1 (atan2 (* (* (sin theta) (sin delta)) (cos phi1)) (- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))))

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize78.0ms

Local error

Found 4 expressions with local error:

0.6b
(- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))
0.4b
(asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))
0.3b
(* (sin phi1) (cos delta))
0.3b
(* (sin theta) (sin delta))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
6×associate-*r* associate-*l* add-log-exp
4×insert-posit16
2×pow-prod-down prod-exp *-commutative cbrt-unprod
1×asin-acos sub-neg flip3-- diff-log sin-cos-mult flip-- sin-mult
Calls
4 calls:
Slowest
8.0ms
(* (sin theta) (sin delta))
5.0ms
(* (sin phi1) (cos delta))
5.0ms
(- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))
1.0ms
(asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))

series341.0ms

Calls
4 calls:
Slowest
233.0ms
(- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))
50.0ms
(* (sin phi1) (cos delta))
49.0ms
(* (sin theta) (sin delta))
9.0ms
(asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))

simplify1.5s

Calls
31 calls:
Slowest
331.0ms
(- phi1 (+ (* 1/2 (* phi1 (pow delta 2))) (* 1/6 (pow phi1 3))))
264.0ms
(- (cos delta) (+ (* (pow (sin phi1) 2) (cos delta)) (* (sin phi1) (* (cos phi1) (* (cos theta) (sin delta))))))
215.0ms
(- (cos delta) (+ (* (pow (sin phi1) 2) (cos delta)) (* (sin phi1) (* (sin delta) (* (cos theta) (cos phi1))))))
133.0ms
(- 1 (+ (* phi1 delta) (* 1/2 (pow delta 2))))
119.0ms
(* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (cos delta) (cos delta)) (cos delta)))

prune1.6s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms